It is often stated in introductory physics textbooks that the electrical field inside a conductor should be zero[1]}, [2]}, [3]}, [4]}, [5]}, but that can only be true if the charge is a continuous distribution. Consider a simple classical model (which is used in the famous Thomson problem [6]}), in which the charge is made of identical point-particles and the conductor is a confined volume in space that the charged-particles can freely move around. If there is only a single charged-particle, no matter where it is, there will always be a non-vanishing electrical field inside the conductor. As the number of charged-particles increases, we approach the continuum limit, thus it can be expected that the electrical field inside the conductor will eventually disappear at electrostatic equilibrium (the state of minimum electrostatic potential energy, in which the charge-particles are concentrated on the surface [7]}).
